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Finding the Fourth Proportional to 937.74, 1,405.01 and 663.30

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Solution

The fourth proportional to 937.74, 1,405.01 and 663.30 is: 993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.74 : 1,405.01 = 663.30 : x
  2. Step 2: Convert to fraction form
    937.74/1,405.01 = 663.30/x
  3. Step 3: Cross multiply
    937.74x = 1,405.01 × 663.30
  4. Step 4: Simplify right side
    937.74x = 931,943.13
  5. Step 5: Solve for x
    x = 931,943.13/937.74
  6. Step 6: Final answer
    x = 993.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.